Solve the variation problem.
-The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 40 feet and 8-foot walls requires 3.2 quarts of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 45 feet and 8-foot walls.
A)7.2 quarts
B)3.6 quarts
C)360 quarts
D)36 quarts

Question

Quizplus · Accepted Answer

The amount of paint needed is directly proportional to both the perimeter and the height of the walls. Since the height remains the same in both cases, the amount of paint needed scales linearly with the perimeter. The second room's perimeter is 45/40 = 1.125 times the first, so the paint needed is 3.2 * 1.125 = 3.6 quarts.

Solve the Variation Problem